1347830400 has 384 divisors, whose sum is σ = 5245378560. Its totient is φ = 297676800.

The previous prime is 1347830381. The next prime is 1347830459. The reversal of 1347830400 is 40387431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082877 + ... + 2083523.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 2^1347830400 is an apocalyptic number.

1347830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

1347830400 is an abundant number, since it is smaller than the sum of its proper divisors (3897548160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1347830400 is a wasteful number, since it uses less digits than its factorization.

1347830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1347830400 is about 36712.8097535452. The cubic root of 1347830400 is about 1104.6170673418.

The spelling of 1347830400 in words is "one billion, three hundred forty-seven million, eight hundred thirty thousand, four hundred".